Need help with thermo problems

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SUMMARY

This discussion focuses on solving thermodynamic problems involving phase changes of water in rigid tanks. The first problem involves calculating the initial mass of vapor and final pressure after heating a two-phase liquid-vapor mixture from 260°F to 320°F, using specific volumes from steam tables. The second problem addresses heating saturated vapor from 160°C to 400°C in a closed tank, requiring the determination of initial and final pressures and specific volumes. Key insights include the application of the phase rule and the use of steam tables for accurate calculations.

PREREQUISITES
  • Understanding of thermodynamic properties of water, including specific volume and quality.
  • Familiarity with steam tables and their application in thermodynamic calculations.
  • Knowledge of phase changes and the phase rule in thermodynamics.
  • Basic skills in manipulating equations related to thermodynamic states.
NEXT STEPS
  • Study the use of steam tables for calculating thermodynamic properties of water at various temperatures and pressures.
  • Learn about the phase rule and its implications for systems with multiple phases.
  • Explore the concept of specific volume and its significance in rigid tank problems.
  • Investigate the relationships between pressure, volume, and temperature in closed systems.
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Students and professionals in mechanical engineering, particularly those specializing in thermodynamics, as well as anyone involved in heat transfer and phase change analysis.

eku_girl83
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Need urgent help with thermo problems...

Here are my problems:
1) A rigid tank contains 5 lb of a two-phase liquid vapor mixture of water, initially at 260 F with a quality of .6 Heat transfer to the contents of the tank occurs until the temperature is 320 F. Determine the initial mass of vapor, in lb, initially present in the tank and the final pressure, in psi.

For T=260, vf (specific volume of saturated liquid) = .01708 and vg (specific volume of saturated gas) = 11.77
I know quality is .6, so I can use the equation x=(v-vf)/(vg-vf) to find v.
v=7.07

For T=320, vf=.01765 and vg=4.919.
*Can I assume quality is the same and use the same equation as above to solve for v? How do I find initial and final pressures? How do I know the initial mass of the vapor?*
Hints please!

2) Water vapor is heated in a closed, rigid tank from saturated vapor at 160 C to a final temperature of 400 C. Determine the initial and final pressures, in bar, and the initial and final specific volumes, in m^3/kg.

*Here I'm having trouble discerning the relationships between p, v, and t. Can someone clarify for me?*

Thanks in advance,
eku_girl83
 
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eku_girl83 said:
(snip)*Can I assume quality is the same

Nope.

and use the same equation as above to solve for v?

Yup. What's "unknown" in your second use of the equation?

How do I find initial and final pressures? How do I know the initial mass of the vapor?*
Hints please!

You've access to excerpts from the steam tables in your text (appendices), course materials (handouts), or library (CRC Hndbk, Int. Crit. Tables, JANAF tables, NBS500, yada-yada-yada). Phase rule: 1 component, 2 phases, you're given T, P is fixed --- it's the "vapor pressure." Given volumes and densities of the phases, do you need any other information to calculate mass?

2) Water vapor is heated in a closed, rigid tank from saturated vapor at 160 C to a final temperature of 400 C. Determine the initial and final pressures, in bar, and the initial and final specific volumes, in m^3/kg.

This looks like a freebie --- you probably want to check the problem statement again. As it stands, water vapor (saturation density at 160 C, and vapor pressure at 160 C) is heated at constant volume to a supercritical temperature, again single phase. Specific volumes don't change --- all you've got to do is pick the pressure from the tables, Molier diagram, whatever your instructor's pet representation of the steam tables happens to be.
 

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